I am flying into Sydney early morning 9/13 from U.S. and would like a taste of Sydney that day and night. Flying out to Cairns 7am next morning for the start of an extended OZ Adventure and will return to further explore Sydney at end of October. My question is, am I better to check into an airport hotel for luggage/takeoff convenience or a hotel in Sydney (my Preference) for the night and figure a reliable way to the airport at 5am or so?. Hotel Shuttle services seem almost non-existent in Sydney and the private shuttle services are rated poorly. Thanks for any suggestions on which plan and hotel suggestions.